Question

The following observations have been arranged in ascending order, if the median of data is $63$.
Find the value of $x$ :
$29,32,48,50,x,x+2,72,78,84,95$

Answer 1

$29,32,48,50,x,x+2,72,78,84,95$

Total no. of observations $=10=$ Even

Median $=\frac{{\left(\frac{n}{2}\right)}^{th}\text{observation}+{(\frac{n}{2}+1)}^{th}\text{observation}}{2}=63\left(\text{Given}\right)$

$\Rightarrow \frac{x+x+2}{2}=63$

$\Rightarrow 2x+2=126$

$\Rightarrow 2x=126-2$

$\Rightarrow x=\frac{124}{2}=62$